Kaehler groups, quasi-projective groups, and 3-manifold groups

Stefan Friedl; Alexander Suciu

doi:10.1112/jlms/jdt051

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arXiv · 1212.3022

Kaehler groups, quasi-projective groups, and 3-manifold groups

Stefan Friedl·Alexander Suciu

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Abstract

We prove two results relating 3-manifold groups to fundamental groups occurring in complex geometry. Let N be a compact, connected, orientable 3-manifold. If N has non-empty, toroidal boundary, and π_1(N) is a Kaehler group, then N is the product of a torus with an interval. On the other hand, if N has either empty or toroidal boundary, and π_1(N) is a quasi-projective group, then all the prime components of N are graph manifolds.

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BibTeX RIS

Stefan Friedl, Alexander Suciu. 2012-12-30. Kaehler groups, quasi-projective groups, and 3-manifold groups. https://doi.org/10.1112/jlms%2Fjdt051

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